This article assumes familarity with single needle right angle weave (click here for instructions)and with tubular peyote (click here for instructions)

You will need size 11 beads in black and a contrast color.
needle
thread

Start by making a circle with 4 black beads, then add 2 beads over one bead, then go through the next bead, come out, and put 2 beads over the next bead, then go through the next bead and the 2 beads you add first, add a single bead between the sets of 2 beads. The first row is shown in dark grey, the second row in light grey, the third row in white, looking from the top.

Continue adding beads in this manner following the graph to make a shaped tube for the butterfly body.

Make 2 wings in right angle weave following this graph.

Stitch the wings to the butterfly body , pulling the thread tight to make them buckle slightly.

Weave the thread to the top bead, and add 10 beads and connect the antenna where shown, go back through the 10 beads added, and the top bead,then add 10 more beads on the other side. Weave in ends.

Now add on a pin back, or turn it into a pendant or suncatcher, or use daisy chains to turn the finished butterfly into a handflower, or use it for whatever you want to use a butterfly for.
Here´s a blank wing graph.

The peyote variation for the body of the butterfly is very adaptable to other 3 D figures. Here are pictures of 2 pieces I did using it.